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505013320 = 23573315449
BaseRepresentation
bin11110000110011…
…110010001001000
31022012021100001001
4132012132101020
52013240411240
6122040104344
715341354020
oct3606362110
91265240031
10505013320
1123a080a89
121211650b4
138081bc66
144b0dca80
152e50889a
hex1e19e448

505013320 has 64 divisors (see below), whose sum is σ = 1302768000. Its totient is φ = 172592640.

The previous prime is 505013317. The next prime is 505013321. The reversal of 505013320 is 23310505.

It is not an unprimeable number, because it can be changed into a prime (505013321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89956 + ... + 95404.

It is an arithmetic number, because the mean of its divisors is an integer number (20355750).

Almost surely, 2505013320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651384000).

505013320 is an abundant number, since it is smaller than the sum of its proper divisors (797754680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505013320 is a wasteful number, since it uses less digits than its factorization.

505013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 505013320 is about 22472.5014184002. The cubic root of 505013320 is about 796.3444255791.

Adding to 505013320 its reverse (23310505), we get a palindrome (528323825).

The spelling of 505013320 in words is "five hundred five million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 331 662 1324 1655 2317 2648 3310 4634 5449 6620 9268 10898 11585 13240 18536 21796 23170 27245 38143 43592 46340 54490 76286 92680 108980 152572 190715 217960 305144 381430 762860 1525720 1803619 3607238 7214476 9018095 12625333 14428952 18036190 25250666 36072380 50501332 63126665 72144760 101002664 126253330 252506660 505013320